Remarks on the cardinality of compact spaces and their Lindelöf subspaces
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- by A. Hajnal and I. Juhász PDF
- Proc. Amer. Math. Soc. 59 (1976), 146-148 Request permission
Abstract:
Several applications of the Čech-Pospišil theorem are given; one of them states (under CH) that every uncountable compact space has a Lindelöf subspace of cardinality ${\omega _1}$.References
- I. Juhász, Cardinal functions in topology, Mathematical Centre Tracts, No. 34, Mathematisch Centrum, Amsterdam, 1971. In collaboration with A. Verbeek and N. S. Kroonenberg. MR 0340021
- R. Engelking, Outline of general topology, North-Holland Publishing Co., Amsterdam; PWN—Polish Scientific Publishers, Warsaw; Interscience Publishers Division John Wiley & Sons, Inc., New York, 1968. Translated from the Polish by K. Sieklucki. MR 0230273
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 59 (1976), 146-148
- MSC: Primary 54A25; Secondary 54D30
- DOI: https://doi.org/10.1090/S0002-9939-1976-0423283-7
- MathSciNet review: 0423283